Local conservation laws and the Hamiltonian formalism for the Ablowitz–Ladik hierarchy

F Gesztesy, H Holden, J Michor… - Studies in Applied …, 2008 - Wiley Online Library
We derive a systematic and recursive approach to local conservation laws and the
Hamiltonian formalism for the Ablowitz–Ladik (AL) hierarchy. Our methods rely on a …

Multi‐Hamiltonian structure for the finite defocusing Ablowitz‐Ladik equation

M Gekhtman, I Nenciu - … on Pure and Applied Mathematics: A …, 2009 - Wiley Online Library
We study the Poisson structure associated to the defocusing Ablowitz‐Ladik equation from a
functional‐analytical point of view by reexpressing the Poisson bracket in terms of the …

[HTML][HTML] Poisson brackets of orthogonal polynomials

MJ Cantero, B Simon - Journal of Approximation Theory, 2009 - Elsevier
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